The polar equation of a curve C is r^2 = 2 sin 2Ѳ.
(a) Find a Cartesian equation for C.
(b) Show that C could be represented parametrically by the equations

x =(2t)/(1 + t^4), y = (2t^3)/(1+t^4)
where t is a parameter.

I’ve done (a). But how can I solve (b)?

So you know that . (Here's some advice: The answer to (a) is needed in order to answer (b). So next time, to save a poor sap like me from spending 10 seconds re-inventing the wheel, be a sport and include your answer).

The easiest approach is to sub the parametric expressions into the cartesian equation and show that you get an identity: